Elements of Nonlinear Analysis

Chipot, Michel:

ISBN 10: 3764364068 / ISBN 13: 9783764364069

Published by Birkhäuser Verlag, Basel, Boston, Berlin, 2000

About this Item

VI, 1 Blatt, 256 Seiten Innen sauberer, guter Zustand. Lediglich letzte Indexseite mit dezentem Buntstift bekritzelt. Hintere Vorsatzseite knickspurig. Hardcover, Pappeinband, mit den üblichen Bibliotheks-Markierungen, Stempeln und Einträgen, innen wie außen, siehe Bilder. Ecken und Kanten minimal bestoßen. - Birkhäuser Advances Texts. Basler Lehrbücher. MIG-16-02B|A85 Sprache: Englisch Gewicht in Gramm: 630. Seller Inventory # 80649

Bibliographic Details

Title: Elements of Nonlinear Analysis

Publisher: Birkhäuser Verlag, Basel, Boston, Berlin

Publication Date: 2000

Binding: 23,5 x 15,5 cm

Condition: Gut

Edition: 1. Auflage.

About this title

Synopsis:

The goal of this book is to present some modern aspects of nonlinear analysis. Some of the material introduced is classical, some more exotic. We have tried to emphasize simple cases and ideas more than complicated refinements. Also, as far as possible, we present proofs that are not classical or not available in the usual literature. Of course, only a small part of nonlinear analysis is covered. Our hope is that the reader - with the help of these notes - can rapidly access the many different aspects of the field. We start by introducing two physical issues: elasticity and diffusion. The pre­ sentation here is original and self contained, and helps to motivate all the rest of the book. Then we turn to some theoretical material in analysis that will be needed throughout (Chapter 2). The next six chapters are devoted to various aspects of elliptic problems. Starting with the basics of the linear theory, we introduce a first type of nonlinear problem that has today invaded the whole mathematical world: variational inequalities. In particular, in Chapter 6, we introduce a simple theory of regularity for nonlocal variational inequalities. We also attack the question of the existence, uniqueness and approximation of solutions of quasilinear and mono­ tone problems (see Chapters 5, 7, 8). The material needed to read these parts is contained in Chapter 2. The arguments are explained using the simplest possible examples.

Review:

"This is a relatively formal book which starts out as a motivational chapter introducing two examples, elasticity and diffusion, of the application of nonlinear analysis. Aimed mainly at graduate students and nonspecialists, the material is then developed in a largely abstract fashion, introducing topics in existence, uniqueness, regularity and approximation for elliptic and parabolic problems."   --Aslib Book Guide

"This book covers some of the main aspects of nonlinear analysis. It concentrates on stressing the fundamental ideas instead of elaborating on the intricacies of the more esoteric ones...it encompass[es] many methods of dynamical systems in quite simple and original settings. I recommend this book to anyone interested in the main and essential concepts of nonlinear analysis as well as the relevant methodologies and applications."   --Mathematical Reviews